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Tensor-calculus
New post in Tensor-calculus
Off-diagonal terms in metric for 4D space-time
October 1st, 2022
covariance
special-relativity
spacetime
metric-tensor
tensor-calculus
Is current a tensor or a scalar quantity?
July 28th, 2020
tensor-calculus
electric-current
Difference between slanted indices on a tensor
August 1st, 2022
notation
general-relativity
tensor-calculus
metric-tensor
Why do we need a metric to define gradient?
February 4th, 2021
differentiation
differential-geometry
metric-tensor
tensor-calculus
covariance
Sign of the totally anti-symmetric Levi-Civita tensor $\varepsilon^{\mu_1 \ldots}$ when raising indices
February 23rd, 2020
conventions
tensor-calculus
Generalized divergence of tensor in GR
October 2nd, 2020
differentiation
definition
tensor-calculus
differential-geometry
general-relativity
Why is Minkowski spacetime in polar coordinates treated in texts as flat spacetime?
June 27th, 2020
curvature
tensor-calculus
metric-tensor
differential-geometry
general-relativity
What is the covariant derivative in mathematician's language?
August 1st, 2022
tensor-calculus
mathematics
Trace of a Tensor
August 1st, 2022
trace
covariance
tensor-calculus
differential-geometry
general-relativity
Difference between $\partial$ and $\nabla$ in general relativity
June 6th, 2020
curvature
general-relativity
differential-geometry
notation
tensor-calculus
Significance of the Dual Electromagnetic Tensor $\tilde{\mathbf{F}}$/its derivation
August 1st, 2022
electromagnetism
maxwell-equations
tensor-calculus
Tensor Product of Hilbert spaces
December 13th, 2020
mathematical-physics
hilbert-space
tensor-calculus
mathematics
quantum-mechanics
Hodge star operator on curvature?
April 17th, 2022
differential-geometry
tensor-calculus
gauge-theory
curvature
yang-mills
Staggered Indices ($\Lambda^\mu{}_\nu$ vs. $\Lambda_\mu{}^\nu$) on Lorentz Transformations
September 6th, 2020
conventions
special-relativity
notation
tensor-calculus
Deriving an equation involving Killing vectors
June 9th, 2020
homework-and-exercises
general-relativity
tensor-calculus
The definition of transpose of Lorentz transformation (as a mixed tensor)
August 1st, 2022
special-relativity
tensor-calculus
linear-algebra
conventions
covariance
Physical interpretation of 2-forms dual to pseudovectors
February 19th, 2020
mathematics
tensor-calculus
differential-geometry
angular-momentum
magnetic-fields
Tensor index notation with e.g. square brackets
June 14th, 2020
notation
tensor-calculus
Is the covariance or contravariance of vectors/tensors something that can be "visualized"?
August 1st, 2022
vectors
tensor-calculus
Do Dirac Gamma Matrices act like Tensors?
August 1st, 2022
dirac-matrices
tensor-calculus
Critique on tensor notation
August 1st, 2022
covariance
general-relativity
tensor-calculus
notation
linear-algebra
Riemann tensor in 2d and 3d
September 21st, 2020
tensor-calculus
curvature
differential-geometry
general-relativity
homework-and-exercises
How do you show from the index notation that the change of frame formula for a metric must involve the transpose?
September 9th, 2020
tensor-calculus
general-relativity
differential-geometry
notation
Is Lorentz transform a tensor?
February 27th, 2020
tensor-calculus
inertial-frames
special-relativity
lorentz-symmetry
Raising and Lowering Indices of Levi-Civita Symbols (+---) metric?
August 1st, 2022
notation
special-relativity
metric-tensor
tensor-calculus
Perturbation metric problem
April 9th, 2020
tensor-calculus
general-relativity
The signature of the metric and the definition of the electromagnetic tensor
June 6th, 2021
conventions
tensor-calculus
metric-tensor
special-relativity
electromagnetism
Levi Civita covariance and contravariance
August 1st, 2022
covariance
tensor-calculus
Tensor equations in General Relativity
September 29th, 2020
differential-geometry
general-relativity
tensor-calculus
coordinate-systems
reference-frames
Einstein Summation Convention: One as Upper, One as Lower?
August 1st, 2022
tensor-calculus
notation
covariance
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